What is the Least Common Multiple of 52305 and 52310?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 52305 and 52310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52305 and 52310, than apply into the LCM equation.

GCF(52305,52310) = 5
LCM(52305,52310) = ( 52305 × 52310) / 5
LCM(52305,52310) = 2736074550 / 5
LCM(52305,52310) = 547214910

Least Common Multiple (LCM) of 52305 and 52310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52305 and 52310. First we will calculate the prime factors of 52305 and 52310.

Prime Factorization of 52305

Prime Factorization of 52310

Now multiplying the highest exponent prime factors to calculate the LCM of 52305 and 52310.

LCM(52305,52310) = 3¹ × 5¹ × 11¹ × 317¹ × 2¹ × 5231¹
LCM(52305,52310) = 547214910